|  | /* | 
|  | Copyright (c) 2014, Intel Corporation | 
|  | All rights reserved. | 
|  |  | 
|  | Redistribution and use in source and binary forms, with or without | 
|  | modification, are permitted provided that the following conditions are met: | 
|  |  | 
|  | * Redistributions of source code must retain the above copyright notice, | 
|  | * this list of conditions and the following disclaimer. | 
|  |  | 
|  | * Redistributions in binary form must reproduce the above copyright notice, | 
|  | * this list of conditions and the following disclaimer in the documentation | 
|  | * and/or other materials provided with the distribution. | 
|  |  | 
|  | * Neither the name of Intel Corporation nor the names of its contributors | 
|  | * may be used to endorse or promote products derived from this software | 
|  | * without specific prior written permission. | 
|  |  | 
|  | THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND | 
|  | ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED | 
|  | WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE | 
|  | DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR | 
|  | ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES | 
|  | (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; | 
|  | LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON | 
|  | ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT | 
|  | (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS | 
|  | SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. | 
|  | */ | 
|  |  | 
|  | /******************************************************************************/ | 
|  | //                     ALGORITHM DESCRIPTION | 
|  | //                     --------------------- | 
|  | // | 
|  | // Polynomials coefficients and other constants. | 
|  | // | 
|  | // Note that in this algorithm, there is a different polynomial for | 
|  | // each breakpoint, so there are 32 sets of polynomial coefficients | 
|  | // as well as 32 instances of the other constants. | 
|  | // | 
|  | // The polynomial coefficients and constants are offset from the start | 
|  | // of the main block as follows: | 
|  | // | 
|  | //   0:  c8 | c0 | 
|  | //  16:  c9 | c1 | 
|  | //  32: c10 | c2 | 
|  | //  48: c11 | c3 | 
|  | //  64: c12 | c4 | 
|  | //  80: c13 | c5 | 
|  | //  96: c14 | c6 | 
|  | // 112: c15 | c7 | 
|  | // 128: T_hi | 
|  | // 136: T_lo | 
|  | // 144: Sigma | 
|  | // 152: T_hl | 
|  | // 160: Tau | 
|  | // 168: Mask | 
|  | // 176: (end of block) | 
|  | // | 
|  | // The total table size is therefore 5632 bytes. | 
|  | // | 
|  | // Note that c0 and c1 are always zero. We could try storing | 
|  | // other constants here, and just loading the low part of the | 
|  | // SIMD register in these cases, after ensuring the high part | 
|  | // is zero. | 
|  | // | 
|  | // The higher terms of the polynomial are computed in the *low* | 
|  | // part of the SIMD register. This is so we can overlap the | 
|  | // multiplication by r^8 and the unpacking of the other part. | 
|  | // | 
|  | // The constants are: | 
|  | // T_hi + T_lo = accurate constant term in power series | 
|  | // Sigma + T_hl = accurate coefficient of r in power series (Sigma=1 bit) | 
|  | // Tau = multiplier for the reciprocal, always -1 or 0 | 
|  | // | 
|  | // The basic reconstruction formula using these constants is: | 
|  | // | 
|  | // High = tau * recip_hi + t_hi | 
|  | // Med = (sgn * r + t_hl * r)_hi | 
|  | // Low = (sgn * r + t_hl * r)_lo + | 
|  | //       tau * recip_lo + T_lo + (T_hl + sigma) * c + pol | 
|  | // | 
|  | // where pol = c0 + c1 * r + c2 * r^2 + ... + c15 * r^15 | 
|  | // | 
|  | // (c0 = c1 = 0, but using them keeps SIMD regularity) | 
|  | // | 
|  | // We then do a compensated sum High + Med, add the low parts together | 
|  | // and then do the final sum. | 
|  | // | 
|  | // Here recip_hi + recip_lo is an accurate reciprocal of the remainder | 
|  | // modulo pi/2 | 
|  | // | 
|  | // Special cases: | 
|  | //  tan(NaN) = quiet NaN, and raise invalid exception | 
|  | //  tan(INF) = NaN and raise invalid exception | 
|  | //  tan(+/-0) = +/-0 | 
|  | // | 
|  | /******************************************************************************/ | 
|  |  | 
|  | #include <private/bionic_asm.h> | 
|  | # -- Begin  static_func | 
|  | .text | 
|  | .align __bionic_asm_align | 
|  | .type static_func, @function | 
|  | static_func: | 
|  | ..B1.1: | 
|  | call      ..L2 | 
|  | ..L2: | 
|  | popl      %eax | 
|  | lea       _GLOBAL_OFFSET_TABLE_+[. - ..L2](%eax), %eax | 
|  | lea       static_const_table@GOTOFF(%eax), %eax | 
|  | ret | 
|  | .size   static_func,.-static_func | 
|  | # -- End  static_func | 
|  |  | 
|  | # -- Begin  tan | 
|  | ENTRY(tan) | 
|  | # parameter 1: 8 + %ebp | 
|  | ..B2.1: | 
|  | ..B2.2: | 
|  | pushl     %ebp | 
|  | movl      %esp, %ebp | 
|  | subl      $120, %esp | 
|  | movl      %ebx, 56(%esp) | 
|  | call      static_func | 
|  | movl      %eax, %ebx | 
|  | movsd     128(%esp), %xmm0 | 
|  | pextrw    $3, %xmm0, %eax | 
|  | andl      $32767, %eax | 
|  | subl      $14368, %eax | 
|  | cmpl      $2216, %eax | 
|  | ja        .L_2TAG_PACKET_0.0.2 | 
|  | movapd    5840(%ebx), %xmm5 | 
|  | movapd    5856(%ebx), %xmm6 | 
|  | unpcklpd  %xmm0, %xmm0 | 
|  | movapd    5712(%ebx), %xmm4 | 
|  | andpd     %xmm0, %xmm4 | 
|  | movapd    5632(%ebx), %xmm1 | 
|  | mulpd     %xmm0, %xmm1 | 
|  | orpd      %xmm4, %xmm5 | 
|  | addpd     %xmm5, %xmm1 | 
|  | movapd    %xmm1, %xmm7 | 
|  | unpckhpd  %xmm7, %xmm7 | 
|  | cvttsd2si %xmm7, %edx | 
|  | cvttpd2dq %xmm1, %xmm1 | 
|  | cvtdq2pd  %xmm1, %xmm1 | 
|  | mulpd     %xmm6, %xmm1 | 
|  | movapd    5664(%ebx), %xmm3 | 
|  | movsd     5728(%ebx), %xmm5 | 
|  | addl      $469248, %edx | 
|  | movapd    5680(%ebx), %xmm4 | 
|  | mulpd     %xmm1, %xmm3 | 
|  | andl      $31, %edx | 
|  | mulsd     %xmm1, %xmm5 | 
|  | movl      %edx, %ecx | 
|  | mulpd     %xmm1, %xmm4 | 
|  | shll      $1, %ecx | 
|  | subpd     %xmm3, %xmm0 | 
|  | mulpd     5696(%ebx), %xmm1 | 
|  | addl      %ecx, %edx | 
|  | shll      $2, %ecx | 
|  | addl      %ecx, %edx | 
|  | addsd     %xmm0, %xmm5 | 
|  | movapd    %xmm0, %xmm2 | 
|  | subpd     %xmm4, %xmm0 | 
|  | movsd     5744(%ebx), %xmm6 | 
|  | shll      $4, %edx | 
|  | lea       (%ebx), %eax | 
|  | andpd     5776(%ebx), %xmm5 | 
|  | movapd    %xmm0, %xmm3 | 
|  | addl      %edx, %eax | 
|  | subpd     %xmm0, %xmm2 | 
|  | unpckhpd  %xmm0, %xmm0 | 
|  | divsd     %xmm5, %xmm6 | 
|  | subpd     %xmm4, %xmm2 | 
|  | movapd    16(%eax), %xmm7 | 
|  | subsd     %xmm5, %xmm3 | 
|  | mulpd     %xmm0, %xmm7 | 
|  | subpd     %xmm1, %xmm2 | 
|  | movapd    48(%eax), %xmm1 | 
|  | mulpd     %xmm0, %xmm1 | 
|  | movapd    96(%eax), %xmm4 | 
|  | mulpd     %xmm0, %xmm4 | 
|  | addsd     %xmm3, %xmm2 | 
|  | movapd    %xmm0, %xmm3 | 
|  | mulpd     %xmm0, %xmm0 | 
|  | addpd     (%eax), %xmm7 | 
|  | addpd     32(%eax), %xmm1 | 
|  | mulpd     %xmm0, %xmm1 | 
|  | addpd     80(%eax), %xmm4 | 
|  | addpd     %xmm1, %xmm7 | 
|  | movapd    112(%eax), %xmm1 | 
|  | mulpd     %xmm0, %xmm1 | 
|  | mulpd     %xmm0, %xmm0 | 
|  | addpd     %xmm1, %xmm4 | 
|  | movapd    64(%eax), %xmm1 | 
|  | mulpd     %xmm0, %xmm1 | 
|  | addpd     %xmm1, %xmm7 | 
|  | movapd    %xmm3, %xmm1 | 
|  | mulpd     %xmm0, %xmm3 | 
|  | mulsd     %xmm0, %xmm0 | 
|  | mulpd     144(%eax), %xmm1 | 
|  | mulpd     %xmm3, %xmm4 | 
|  | movapd    %xmm1, %xmm3 | 
|  | addpd     %xmm4, %xmm7 | 
|  | movapd    %xmm1, %xmm4 | 
|  | mulsd     %xmm7, %xmm0 | 
|  | unpckhpd  %xmm7, %xmm7 | 
|  | addsd     %xmm7, %xmm0 | 
|  | unpckhpd  %xmm1, %xmm1 | 
|  | addsd     %xmm1, %xmm3 | 
|  | subsd     %xmm3, %xmm4 | 
|  | addsd     %xmm4, %xmm1 | 
|  | movapd    %xmm2, %xmm4 | 
|  | movsd     144(%eax), %xmm7 | 
|  | unpckhpd  %xmm2, %xmm2 | 
|  | addsd     152(%eax), %xmm7 | 
|  | mulsd     %xmm2, %xmm7 | 
|  | addsd     136(%eax), %xmm7 | 
|  | addsd     %xmm1, %xmm7 | 
|  | addsd     %xmm7, %xmm0 | 
|  | movsd     5744(%ebx), %xmm7 | 
|  | mulsd     %xmm6, %xmm4 | 
|  | movsd     168(%eax), %xmm2 | 
|  | andpd     %xmm6, %xmm2 | 
|  | mulsd     %xmm2, %xmm5 | 
|  | mulsd     160(%eax), %xmm6 | 
|  | subsd     %xmm5, %xmm7 | 
|  | subsd     128(%eax), %xmm2 | 
|  | subsd     %xmm4, %xmm7 | 
|  | mulsd     %xmm6, %xmm7 | 
|  | movapd    %xmm3, %xmm4 | 
|  | subsd     %xmm2, %xmm3 | 
|  | addsd     %xmm3, %xmm2 | 
|  | subsd     %xmm2, %xmm4 | 
|  | addsd     %xmm4, %xmm0 | 
|  | subsd     %xmm7, %xmm0 | 
|  | addsd     %xmm3, %xmm0 | 
|  | movsd     %xmm0, (%esp) | 
|  | fldl      (%esp) | 
|  | jmp       .L_2TAG_PACKET_1.0.2 | 
|  | .L_2TAG_PACKET_0.0.2: | 
|  | jg        .L_2TAG_PACKET_2.0.2 | 
|  | shrl      $4, %eax | 
|  | cmpl      $268434558, %eax | 
|  | jne       .L_2TAG_PACKET_3.0.2 | 
|  | movapd    %xmm0, %xmm3 | 
|  | mulsd     5808(%ebx), %xmm3 | 
|  | .L_2TAG_PACKET_3.0.2: | 
|  | movsd     5792(%ebx), %xmm3 | 
|  | mulsd     %xmm0, %xmm3 | 
|  | addsd     %xmm0, %xmm3 | 
|  | mulsd     5808(%ebx), %xmm3 | 
|  | movsd     %xmm3, (%esp) | 
|  | fldl      (%esp) | 
|  | jmp       .L_2TAG_PACKET_1.0.2 | 
|  | .L_2TAG_PACKET_2.0.2: | 
|  | movq      5712(%ebx), %xmm7 | 
|  | andpd     %xmm0, %xmm7 | 
|  | xorpd     %xmm0, %xmm7 | 
|  | ucomisd   5760(%ebx), %xmm7 | 
|  | je        .L_2TAG_PACKET_4.0.2 | 
|  | subl      $32, %esp | 
|  | movsd     %xmm0, (%esp) | 
|  | lea       40(%esp), %eax | 
|  | movl      %eax, 8(%esp) | 
|  | movl      $2, %eax | 
|  | movl      %eax, 12(%esp) | 
|  | call      __libm_tancot_huge | 
|  | addl      $32, %esp | 
|  | fldl      8(%esp) | 
|  | jmp       .L_2TAG_PACKET_1.0.2 | 
|  | .L_2TAG_PACKET_4.0.2: | 
|  | movq      %xmm0, (%esp) | 
|  | fldl      (%esp) | 
|  | fsubl     (%esp) | 
|  | .L_2TAG_PACKET_1.0.2: | 
|  | movl      56(%esp), %ebx | 
|  | movl      %ebp, %esp | 
|  | popl      %ebp | 
|  | ret | 
|  | ..B2.3: | 
|  | END(tan) | 
|  | # -- End  tan | 
|  |  | 
|  | # Start file scope ASM | 
|  | ALIAS_SYMBOL(tanl, tan); | 
|  | # End file scope ASM | 
|  | .section .rodata, "a" | 
|  | .align 16 | 
|  | .align 16 | 
|  | static_const_table: | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	2284589306 | 
|  | .long	1066820852 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	1441186365 | 
|  | .long	1065494243 | 
|  | .long	1431655765 | 
|  | .long	1070945621 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	236289504 | 
|  | .long	1064135997 | 
|  | .long	286331153 | 
|  | .long	1069617425 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	1160476131 | 
|  | .long	1062722102 | 
|  | .long	463583772 | 
|  | .long	1068212666 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	1072693248 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	1313038235 | 
|  | .long	1066745731 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	1013878342 | 
|  | .long	1067152618 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	3663426833 | 
|  | .long	1065725283 | 
|  | .long	3693284251 | 
|  | .long	1069118808 | 
|  | .long	650852232 | 
|  | .long	1065882376 | 
|  | .long	1996245381 | 
|  | .long	1071000265 | 
|  | .long	2008746170 | 
|  | .long	1064664197 | 
|  | .long	3055842593 | 
|  | .long	1068578846 | 
|  | .long	1495406348 | 
|  | .long	1064652437 | 
|  | .long	2269530157 | 
|  | .long	1069711235 | 
|  | .long	285563696 | 
|  | .long	1063576465 | 
|  | .long	1046897440 | 
|  | .long	1067705865 | 
|  | .long	233429731 | 
|  | .long	1063453151 | 
|  | .long	522045958 | 
|  | .long	1068476590 | 
|  | .long	2354785698 | 
|  | .long	1069102779 | 
|  | .long	1317599141 | 
|  | .long	1012432133 | 
|  | .long	0 | 
|  | .long	1072693248 | 
|  | .long	2828230105 | 
|  | .long	1065606626 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	1512545955 | 
|  | .long	1068119047 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	1127048698 | 
|  | .long	1067909459 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	2300200450 | 
|  | .long	1067254767 | 
|  | .long	3593250296 | 
|  | .long	1070233561 | 
|  | .long	3009365544 | 
|  | .long	1066902117 | 
|  | .long	1127373050 | 
|  | .long	1071173457 | 
|  | .long	3046103305 | 
|  | .long	1066371299 | 
|  | .long	24583402 | 
|  | .long	1069723988 | 
|  | .long	4082511758 | 
|  | .long	1065914199 | 
|  | .long	3223889699 | 
|  | .long	1070020367 | 
|  | .long	548927984 | 
|  | .long	1065415756 | 
|  | .long	558065897 | 
|  | .long	1068949418 | 
|  | .long	680073315 | 
|  | .long	1064940726 | 
|  | .long	388873200 | 
|  | .long	1068944270 | 
|  | .long	3763679576 | 
|  | .long	1070167541 | 
|  | .long	1497360404 | 
|  | .long	1009710547 | 
|  | .long	0 | 
|  | .long	1072693248 | 
|  | .long	64931152 | 
|  | .long	1067729411 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	2467582782 | 
|  | .long	1069256389 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	162150096 | 
|  | .long	1068946420 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	3702794237 | 
|  | .long	1068579152 | 
|  | .long	3631919291 | 
|  | .long	1070936926 | 
|  | .long	3456821413 | 
|  | .long	1068217218 | 
|  | .long	2031366438 | 
|  | .long	1071495745 | 
|  | .long	1596664020 | 
|  | .long	1067799281 | 
|  | .long	1509038701 | 
|  | .long	1070601643 | 
|  | .long	583171477 | 
|  | .long	1067510148 | 
|  | .long	3785344682 | 
|  | .long	1070618476 | 
|  | .long	2402036048 | 
|  | .long	1067075736 | 
|  | .long	3233018412 | 
|  | .long	1069913186 | 
|  | .long	411280568 | 
|  | .long	1066710556 | 
|  | .long	1065584192 | 
|  | .long	1069747896 | 
|  | .long	895247324 | 
|  | .long	1070819848 | 
|  | .long	500078909 | 
|  | .long	3161288781 | 
|  | .long	0 | 
|  | .long	1072693248 | 
|  | .long	729983843 | 
|  | .long	1068994194 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	1458794562 | 
|  | .long	1070398550 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	2857777489 | 
|  | .long	1070137637 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	1024359517 | 
|  | .long	1069876531 | 
|  | .long	2616040238 | 
|  | .long	1071582937 | 
|  | .long	1609024636 | 
|  | .long	1069675088 | 
|  | .long	2529240549 | 
|  | .long	1071836633 | 
|  | .long	1510128600 | 
|  | .long	1069440113 | 
|  | .long	2251697184 | 
|  | .long	1071253687 | 
|  | .long	1262761453 | 
|  | .long	1069142850 | 
|  | .long	1263091857 | 
|  | .long	1071190461 | 
|  | .long	3043383486 | 
|  | .long	1068885191 | 
|  | .long	2476932470 | 
|  | .long	1070842002 | 
|  | .long	3659995028 | 
|  | .long	1068669200 | 
|  | .long	855891755 | 
|  | .long	1070696894 | 
|  | .long	2583490354 | 
|  | .long	1071284857 | 
|  | .long	3062633575 | 
|  | .long	1014008623 | 
|  | .long	0 | 
|  | .long	1072693248 | 
|  | .long	2550940471 | 
|  | .long	1069938201 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	3422807297 | 
|  | .long	1071640847 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	1151658053 | 
|  | .long	1071494715 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	929607071 | 
|  | .long	1071346340 | 
|  | .long	1037049034 | 
|  | .long	1072037305 | 
|  | .long	2786928657 | 
|  | .long	1071215282 | 
|  | .long	1447406859 | 
|  | .long	1072265209 | 
|  | .long	3490952107 | 
|  | .long	1071090851 | 
|  | .long	3205232916 | 
|  | .long	1071968658 | 
|  | .long	1297344304 | 
|  | .long	1070977120 | 
|  | .long	1066110976 | 
|  | .long	1071946035 | 
|  | .long	3803721480 | 
|  | .long	1070871082 | 
|  | .long	1496754229 | 
|  | .long	1071807201 | 
|  | .long	2982550683 | 
|  | .long	1070773243 | 
|  | .long	4014441989 | 
|  | .long	1071736222 | 
|  | .long	419968236 | 
|  | .long	1071717047 | 
|  | .long	3451266538 | 
|  | .long	3163444811 | 
|  | .long	0 | 
|  | .long	1072693248 | 
|  | .long	2960267235 | 
|  | .long	1070745841 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	724322768 | 
|  | .long	1072881308 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	643153048 | 
|  | .long	1072905816 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	4285079458 | 
|  | .long	1072928558 | 
|  | .long	3912524733 | 
|  | .long	1072622983 | 
|  | .long	118362272 | 
|  | .long	1072952754 | 
|  | .long	4107767972 | 
|  | .long	1072827408 | 
|  | .long	2689502883 | 
|  | .long	1072976922 | 
|  | .long	946523347 | 
|  | .long	1072772766 | 
|  | .long	573204189 | 
|  | .long	1073001761 | 
|  | .long	581531518 | 
|  | .long	1072826391 | 
|  | .long	1386236526 | 
|  | .long	1073026959 | 
|  | .long	3718905905 | 
|  | .long	1072832823 | 
|  | .long	1145558140 | 
|  | .long	1073052673 | 
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|  | .type	static_const_table,@object | 
|  | .size	static_const_table,5872 | 
|  | .data | 
|  | .hidden __libm_tancot_huge | 
|  | .section .note.GNU-stack, "" | 
|  | # End |